#pragma once
#include "gp_Ax2.h"
#include "gp_Ax1.h"
#include "gp_Pnt.h"

class gp_Ax2;
class gp_Ax1;
class gp_Pnt;
class gp_Trsf;
class gp_Vec;


 

//! Describes a branch of a hyperbola in 3D space. <br>
//! A hyperbola is defined by its major and minor radii and <br>
//! positioned in space with a coordinate system (a gp_Ax2 <br>
//! object) of which: <br>
//! -   the origin is the center of the hyperbola, <br>
//! -   the "X Direction" defines the major axis of the <br>
//!   hyperbola, and <br>
//! - the "Y Direction" defines the minor axis of the hyperbola. <br>
//! The origin, "X Direction" and "Y Direction" of this <br>
//! coordinate system together define the plane of the <br>
//! hyperbola. This coordinate system is the "local <br>
//! coordinate system" of the hyperbola. In this coordinate <br>
//! system, the equation of the hyperbola is: <br>
//! X*X/(MajorRadius**2)-Y*Y/(MinorRadius**2) = 1.0 <br>
//! The branch of the hyperbola described is the one located <br>
//! on the positive side of the major axis. <br>
//! The "main Direction" of the local coordinate system is a <br>
//! normal vector to the plane of the hyperbola. This vector <br>
//! gives an implicit orientation to the hyperbola. We refer to <br>
//! the "main Axis" of the local coordinate system as the <br>
//! "Axis" of the hyperbola. <br>
//! The following schema shows the plane of the hyperbola, <br>
//! and in it, the respective positions of the three branches of <br>
//! hyperbolas constructed with the functions OtherBranch, <br>
//! ConjugateBranch1, and ConjugateBranch2: <br>
//! <br>
//!                         ^YAxis <br>
//!                         | <br>
//!                  FirstConjugateBranch <br>
//!                         | <br>
//!        Other            |                Main <br>
//!   --------------------- C ------------------------------>XAxis <br>
//!        Branch           |                Branch <br>
//!                         | <br>
//!                         | <br>
//!                   SecondConjugateBranch <br>
//!                         |                  ^YAxis <br>
//! Warning <br>
//! The major radius can be less than the minor radius. <br>
//! See Also <br>
//! gce_MakeHypr which provides functions for more <br>
//! complex hyperbola constructions <br>
//! Geom_Hyperbola which provides additional functions for <br>
//! constructing hyperbolas and works, in particular, with the <br>
//! parametric equations of hyperbolas <br>
class gp_Hypr  {

public:

  

  //! Creates of an indefinite hyperbola. <br>
      gp_Hypr();
  //! Creates a hyperbola with radii MajorRadius and <br>
//!   MinorRadius, positioned in the space by the <br>
//!   coordinate system A2 such that: <br>
//!   -   the origin of A2 is the center of the hyperbola, <br>
//!   -   the "X Direction" of A2 defines the major axis of <br>
//!    the hyperbola, that is, the major radius <br>
//!    MajorRadius is measured along this axis, and <br>
//!   -   the "Y Direction" of A2 defines the minor axis of <br>
//!    the hyperbola, that is, the minor radius <br>
//!    MinorRadius is measured along this axis. <br>
//! Note: This class does not prevent the creation of a <br>
//! hyperbola where: <br>
//! -   MajorAxis is equal to MinorAxis, or <br>
//! -   MajorAxis is less than MinorAxis. <br>
//! Exceptions <br>
//! Standard_ConstructionError if MajorAxis or MinorAxis is negative. <br>
//!     Raises ConstructionError if MajorRadius < 0.0 or MinorRadius < 0.0 <br>//! Raised if MajorRadius < 0.0 or MinorRadius < 0.0 <br>
      gp_Hypr(const gp_Ax2& A2,const double MajorRadius,const double MinorRadius);
  //! Modifies this hyperbola, by redefining its local coordinate <br>
//! system so that: <br>
//! -   its origin and "main Direction" become those of the <br>
//!   axis A1 (the "X Direction" and "Y Direction" are then <br>
//!   recomputed in the same way as for any gp_Ax2). <br>
//! Raises ConstructionError if the direction of A1 is parallel to the direction of <br>
//!  the "XAxis" of the hyperbola. <br>
        void SetAxis(const gp_Ax1& A1) ;
  //! Modifies this hyperbola, by redefining its local coordinate <br>
//! system so that its origin becomes P. <br>
        void SetLocation(const gp_Pnt& P) ;
  
//! Modifies the major  radius of this hyperbola. <br>
//! Exceptions <br>
//! Standard_ConstructionError if MajorRadius is negative. <br>
        void SetMajorRadius(const double MajorRadius) ;
  
//! Modifies the minor  radius of this hyperbola. <br>
//! Exceptions <br>
//! Standard_ConstructionError if MinorRadius is negative. <br>
        void SetMinorRadius(const double MinorRadius) ;
  //! Modifies this hyperbola, by redefining its local coordinate <br>
//! system so that it becomes A2. <br>
        void SetPosition(const gp_Ax2& A2) ;
  
//!  In the local coordinate system of the hyperbola the equation of <br>
//!  the hyperbola is (X*X)/(A*A) - (Y*Y)/(B*B) = 1.0 and the <br>
//!  equation of the first asymptote is Y = (B/A)*X <br>
//!  where A is the major radius and B is the minor radius. Raises ConstructionError if MajorRadius = 0.0 <br>
        gp_Ax1 Asymptote1() const;
  
//!  In the local coordinate system of the hyperbola the equation of <br>
//!  the hyperbola is (X*X)/(A*A) - (Y*Y)/(B*B) = 1.0 and the <br>
//!  equation of the first asymptote is Y = -(B/A)*X. <br>
//!  where A is the major radius and B is the minor radius. Raises ConstructionError if MajorRadius = 0.0 <br>
        gp_Ax1 Asymptote2() const;
  //! Returns the axis passing through the center, <br>
//! and normal to the plane of this hyperbola. <br>
       const gp_Ax1& Axis() const;
  
//!  Computes the branch of hyperbola which is on the positive side of the <br>
//!  "YAxis" of <me>. <br>
        gp_Hypr ConjugateBranch1() const;
  
//!  Computes the branch of hyperbola which is on the negative side of the <br>
//!  "YAxis" of <me>. <br>
        gp_Hypr ConjugateBranch2() const;
  
//!  This directrix is the line normal to the XAxis of the hyperbola <br>
//!  in the local plane (Z = 0) at a distance d = MajorRadius / e <br>
//!  from the center of the hyperbola, where e is the eccentricity of <br>
//!  the hyperbola. <br>
//!  This line is parallel to the "YAxis". The intersection point <br>
//!  between the directrix1 and the "XAxis" is the "Location" point <br>
//!  of the directrix1. This point is on the positive side of the <br>
//!  "XAxis". <br>
        gp_Ax1 Directrix1() const;
  
//!  This line is obtained by the symmetrical transformation <br>
//!  of "Directrix1" with respect to the "YAxis" of the hyperbola. <br>
        gp_Ax1 Directrix2() const;
  
//!  Returns the excentricity of the hyperbola (e > 1). <br>
//!  If f is the distance between the location of the hyperbola <br>
//!  and the Focus1 then the eccentricity e = f / MajorRadius. Raises DomainError if MajorRadius = 0.0 <br>
        double Eccentricity() const;
  
//!  Computes the focal distance. It is the distance between the <br>
//!  the two focus of the hyperbola. <br>
        double Focal() const;
  
//!  Returns the first focus of the hyperbola. This focus is on the <br>
//!  positive side of the "XAxis" of the hyperbola. <br>
        gp_Pnt Focus1() const;
  
//!  Returns the second focus of the hyperbola. This focus is on the <br>
//!  negative side of the "XAxis" of the hyperbola. <br>
        gp_Pnt Focus2() const;
  
//!  Returns  the location point of the hyperbola. It is the <br>
//!  intersection point between the "XAxis" and the "YAxis". <br>
       const gp_Pnt& Location() const;
  
//!  Returns the major radius of the hyperbola. It is the radius <br>
//!  on the "XAxis" of the hyperbola. <br>
        double MajorRadius() const;
  
//!  Returns the minor radius of the hyperbola. It is the radius <br>
//!  on the "YAxis" of the hyperbola. <br>
        double MinorRadius() const;
  
//!  Returns the branch of hyperbola obtained by doing the <br>
//!  symmetrical transformation of <me> with respect to the <br>
//!  "YAxis"  of <me>. <br>
        gp_Hypr OtherBranch() const;
  
//!  Returns p = (e * e - 1) * MajorRadius where e is the <br>
//!  eccentricity of the hyperbola. <br>
//! Raises DomainError if MajorRadius = 0.0 <br>
        double Parameter() const;
  //! Returns the coordinate system of the hyperbola. <br>
       const gp_Ax2& Position() const;
  //! Computes an axis, whose <br>
//! -   the origin is the center of this hyperbola, and <br>
//! -   the unit vector is the "X Direction" <br>
//!   of the local coordinate system of this hyperbola. <br>
//! These axes are, the major axis (the "X <br>
//! Axis") and  of this hyperboReturns the "XAxis" of the hyperbola. <br>
        gp_Ax1 XAxis() const;
  //!      Computes an axis, whose <br>
//! -   the origin is the center of this hyperbola, and <br>
//! -   the unit vector is the "Y Direction" <br>
//!   of the local coordinate system of this hyperbola. <br>
//! These axes are the minor axis (the "Y Axis") of this hyperbola <br>
        gp_Ax1 YAxis() const;
  
       void Mirror(const gp_Pnt& P) ;
  
//!  Performs the symmetrical transformation of an hyperbola with <br>
//!  respect  to the point P which is the center of the symmetry. <br>
       gp_Hypr Mirrored(const gp_Pnt& P) const;
  
       void Mirror(const gp_Ax1& A1) ;
  
//!  Performs the symmetrical transformation of an hyperbola with <br>
//!  respect to an axis placement which is the axis of the symmetry. <br>
       gp_Hypr Mirrored(const gp_Ax1& A1) const;
  
       void Mirror(const gp_Ax2& A2) ;
  
//!  Performs the symmetrical transformation of an hyperbola with <br>
//!  respect to a plane. The axis placement A2 locates the plane <br>
//!  of the symmetry (Location, XDirection, YDirection). <br>
       gp_Hypr Mirrored(const gp_Ax2& A2) const;
  
        void Rotate(const gp_Ax1& A1,const double Ang) ;
  
//!  Rotates an hyperbola. A1 is the axis of the rotation. <br>
//!  Ang is the angular value of the rotation in radians. <br>
        gp_Hypr Rotated(const gp_Ax1& A1,const double Ang) const;
  
        void Scale(const gp_Pnt& P,const double S) ;
  
//!  Scales an hyperbola. S is the scaling value. <br>
        gp_Hypr Scaled(const gp_Pnt& P,const double S) const;
  
        void Transform(const gp_Trsf& T) ;
  
//!  Transforms an hyperbola with the transformation T from <br>
//!  class Trsf. <br>
        gp_Hypr Transformed(const gp_Trsf& T) const;
  
        void Translate(const gp_Vec& V) ;
  
//!  Translates an hyperbola in the direction of the vector V. <br>
//!  The magnitude of the translation is the vector's magnitude. <br>
        gp_Hypr Translated(const gp_Vec& V) const;
  
        void Translate(const gp_Pnt& P1,const gp_Pnt& P2) ;
  
//!  Translates an hyperbola from the point P1 to the point P2. <br>
        gp_Hypr Translated(const gp_Pnt& P1,const gp_Pnt& P2) const;
    const gp_Ax2& _CSFDB_Getgp_Hyprpos() const { return pos; }
    double _CSFDB_Getgp_HyprmajorRadius() const { return majorRadius; }
    void _CSFDB_Setgp_HyprmajorRadius(const double p) { majorRadius = p; }
    double _CSFDB_Getgp_HyprminorRadius() const { return minorRadius; }
    void _CSFDB_Setgp_HyprminorRadius(const double p) { minorRadius = p; }



protected:




private: 


gp_Ax2 pos;
double majorRadius;
double minorRadius;


};






// other  functions and methods (like "C++: function call" methods)



